Method for manufacturing high Tc superconducting circuit elements with metallic substrate

ABSTRACT

A method for manufacturing a high Tc superconducting circuit elements is disclosed, which comprises the steps of preparing a single crystal conductive substrate of Sr 2  RuO 4  by a floating zone melting process; epitaxially growing on the (001)-surface of the Sr 2  RuO 4  substrate a high Tc copper oxide-based superconducting film with a thickness of 1 to 1000 nm; depositing metal pads onto said superconducting film to form electrical contacts; and applying a metal pad to the surface of the substrate to form an electrical contact.

This is a division of application Ser. No. 07/843,880, filed Feb. 27, 1992 now U.S. Pat. No. 5,266,558.

BACKGROUND

This invention relates to superconducting circuit elements, namely heterostructures such as SNS Josephson junctions and field-effect transistors, having a sandwich structure consisting of at least one layer of high-T_(c) superconductor material arranged adjacent to a metallic substrate, having an insulating layer interposed between the high T_(c) material and the metallic substrate. Both the substrate and the insulator consist of materials having structural properties sufficiently similar to those of the superconductor so that mechanical and chemical compatibility is guaranteed.

For device applications of high-T_(c) superconductors, it is desirable to find electrically conductive materials, in particular metals, which are compatible with the high-T_(c) superconductor materials. Compatibility in this context means a best possible match of the respective lattice constants, and the absence of deleterious diffusion effects at the interfaces of the materials involved. These materials may be used, for example in thin film form for SNS heterostructures (where S stands for superconductor, and N stands for normal metal), or they may serve as the bulk substrate in a field-effect transistor among other applications.

European application EP-A-0 409 338 discloses a planar Josephson device of the type where at least one layer of non-superconducting material is arranged between two layers of a superconductor material in one embodiment described, the superconductor is YUBa₂ Cu₃ O₇₋δ and the non-superconductor is silver sulphate Ag₂ SO₄. The silver sulphate being connected to the superconductor through layers of silver which serve to prevent diffusion of the sulphate into the superconductor.

The existence of an electrical field-effect in copper oxide high-T_(c) superconductors (although later found to be very small) has already been reported by U. Kabasawa et al. in Japanese Journ. of Appl. Phys. 29 L86, 1990, and EP-A-0 324 044 actually describes a three-terminal field-effect device with a superconducting channel. Electrical fields are used to control the transport properties of channel layers consisting of high-T_(c) superconductor material. While this seemed to be a promising approach, growth studies of such devices have shown that in the suggested configuration, the ultrathin superconducting layers readily degrade during deposition of insulator layer and top electrode.

The lattice constant matching problem has been tackled by using doped and undoped versions of the same material. In particular, the substrate, is used as the gate electrode of a field-effect transistor of the MISFET type. The substrate consists of conducting niobium-doped strontium titanate. Onto that substrate, a barrier layer consisting of undoped strontium titanate is epitaxially grown, and onto the latter the current channel layer consisting of the superconducting YBa₂ Cu₃ O₇₋δ, is epitaxially deposited. It has been found (cf. H. Hagesawa et al., Jap. Journ. Appl. Phys., Vol. 28 (1989)L2210) that during film growth a thin insulating surface layer forms on the Nb-doped SrTiO₃, reducing the sensitivity of the device. The formation of this layer is possible due to a diffusion of Nb atoms from the gate/insulator interface into the bulk of the gate electrode.

SUMMARY OF THE INVENTION

It is an object of the present invention to overcome these disadvantages of the prior art. In accordance with the invention, metallic strontium ruthenate (or strontium ruthenium oxide) Sr₂ RuO₄ is used as substrate material for the high-T_(c) superconductor and circuit elements formed from the high-T_(c) superconductor. These superconducting circuit elements, namely SNS heterostructures, such as, e.g. Josephson junctions and field-effect transistors, have a sandwich structure consisting of at least one layer of high-T_(c) superconductor material arranged adjacent to a metallic substrate, possibly with an insulating layer in between, the substrate, the superconductor and -if present- the insulator all consisting of materials having at least approximately matching molecular structures and lattice constants. Electrical contacts, such as source, drain and gate electrodes are attached to the superconductor layer and to the substrate, respectively. The electrically conductive substrate consists of a metallic oxide such as strontium ruthenate Sr₂ RuO₄, whereas the superconductor layer is of the copper oxide type and may be YBa₂ Cu₃ O₇₋δ, for example. The insulator layer may consist of SrTiO₃. The manufacture of these devices starts with the preparation of the substrate material from a 2:1,1 molar ratio of SrCO₃ to RuO₂ and involves a floating zone melting process yielding single crystals of the strontium ruthenate Sr₂ RuO₄ material onto whose (001) surface the superconductor layer as well as the barrier layer can be epitaxially deposited.

BRIEF DESCRIPTION OF THE DRAWING

FIG. 1 shows the resistivity ρ_(c) -versus-temperature characteristic of Sr₂ RuO₄,

FIG. 2 is a diagram showing the resistance of a YBa₂ Cu₃ O₇₋δ film grown on a Sr₂ RuO₄ substrate in dependence on temperature;

FIG. 3 shows an SNS heterostructure with a Sr₂ RuO₄ substrate;

FIG. 4 is an inverted MISFET structure using a Sr₂ RuO₄ substrate;

FIG. 5 shows essentially the device of FIG. 4 with a supporting layer.

DESCRIPTION OF THE PREFERRED EMBODIMENT

The prior art problem of undesired surface layers on the Nb-doped SrTiO₃ can be avoided if substrates are used as gate electrodes which are intrinsically metallic and that do not rely on dopants to induce metallic behavior. However, the intrinsically metallic substrate must be compatible with the high-T_(c) superconductor material.

Most of the high-T_(c) superconductor materials known today have very similar molecular structures and essentially the same lattice constants. Examples of high-T_(c) superconductors of the copper oxide type which can be used in connection with the present invention are listed in the table below, together with the respective reference where a description can be found:

    ______________________________________                                         Superconductor Composition                                                                        Reference                                                   ______________________________________                                         Ti-Ba-Ca-CuO       EP-A-0 332 309                                              Ti-Ba-Ca-Y-CuO     EP-A-0 368 210                                              Bi-Sr-Ca-CuO       EP-A-0 332 291                                                                 EP-A-0 362 000                                                                 EP-A-0 366 510                                              Bi-Pb-Sr-Ba-CuO    EP-A-0 348 896                                              Bi-Pb-Sr-Ca-CuO    EP-A-0 400 666                                              La-Y-Bi-Sr-CuO     EP-A-0 287 810                                              Eu-Ba-CuO          EP-A-0 310 246                                              Yb-Ba-CuO          EP-A-0 310 247                                              Sr-La-CuO          EP-A-0 301 958                                              ______________________________________                                    

In addition to the high-T_(c) copper oxide superconductor materials of which examples are listed above, there are some other high-T_(c) superconductor materials known which do not rely on copper but other elements, such as bismuth, for example. On such material in Ba₀.6 K₀.4 BiO₃ which was described by R. J. Cava et al., "Superconductivity Near 30 K Without Copper: The Ba₀.6 K₀.4 BiO₃ Perovskite", Nature, Vol. 332, No. 6167, pp. 814-816 (1988). The common characteristic of all known high-T_(c) superconductor materials which may be used in connection with the invention is that they have a perovskite or perovskite-related structure.

Apparently, of all high-T_(c) superconductor materials known so far, YBa₂ Cu₃ O₇₋δ is the one best investigated. This material and methods for its manufacture are, for example, described in the following references: EP-A-0 282 199, EP-A-0 285 168, EP-A-0 286 823, EP-A-0 301 655, EP-A-0 310 248, EP-A-0 311 804, EP-A-0 321 862, EP-A-0 341 788, EP-A-0 349 444, EP-A-0 405 352.

Without intending to be restrictive, the description of the invention given below will use YBa₂ Cu₃ O₇₋δ (with 0 ≦δ≦1) as an example of a high-T_(c) superconductor material, with the understanding that any other high-T_(c) superconductor material can be used instead, provided its molecular structure and lattice constants are sufficiently close to those of strontium ruthenate Sr₂ RuO₄, and this is the case at least with all known high-T_(c) copper oxide superconductors and the bismuth oxide compound mentioned above.

In accordance with the present invention, the disadvantages of the prior art are overcome by superconducting circuit elements having a multilayered structure, comprising at least one layer of a high-T_(c) superconductor material arranged adjacent to a substrate consisting of a metallic conductor material having a molecular structure and lattice constants which at least approximately match those of said high-T₂ superconductor material, the circuit elements being characterized in that said high-T_(c) superconductor material is of the perovskite-related type and that said electrically conductive substrate consists of strontium ruthenate Sr₂ RuO₄.

The existence of Sr₂ RuO₄, as a bulk material and a paramagnetic electrical conductor, is already known from reports by J. J. Randall et al., "The Preparation of Some Ternary Oxides of the Platinum Metals", J. Am. Chem. Soc. Vol. 81 (1959) pp. 2629-2631, and by A. Callaghan et al., "Magnetic Interactions in Ternary Ruthenium Oxides", Inorganic Chem., Vol. 5, No. 9 (1966) pp. 1572-1576. Of course, at the time of these reports, the high-T_(c) copper oxide superconductor materials were still unknown. Single-crystals of Sr₂ RuO₄ were grown for the first time by the inventors and revealed a highly conductive metallic in-plane behavior which was not before known from the ceramic Sr₂ RuO₄ bulk material.

The method for manufacturing superconducting circuit elements in accordance with the invention is characterized by the following steps:

Weighing appropriate ratios of strontium carbonate SrCO₃ and ruthenium dioxide RuO₂, and grinding;

Mixing the powder with water and pressing it to form two rods;

Sintering the rods in air at a temperature of about 1300° C.;

Melting the rods in air in a floating zone melting process;

Growing samples from the melt having cylindrical shape with layers (a-b-planes) of strontium ruthenate Sr₂ RuO₄ along the axis of the cylinder;

Cleaving the melt-grown samples to obtain single-crystal substrates having defined crystallographic surfaces;

Rinsing the substrate in a cleaning solvent;

Attaching the single crystal to the heater of a sputtering chamber and sputtering with the following parameters:

substrate heater block temperature: 700°-750° C.;

total pressure (Ar/O₂ =2:1): 0.845 mbar;

plasma discharge: 150-170 V, 450 mA,

aftergrowth cooldown in ≃0,5 bar O₂ lasting for ≃1 hour:

Epitaxially growing on at least one (001)-surface of the Sr₂ RuO₄ substrate a film of a high-T_(c) superconducting material, with the thickness of the superconductor film being in the range of 1 to 1000 nm;

Depositing metal pads onto the superconductor layer(s) to form electrical contacts;

Applying a metal pad to the surface of the substrate facing away from said superconducting layer to form an electrical contact.

Details of three embodiments of the invention will hereafter be described by way of example and with reference to the drawings in which:

FIG. 1 shows the resistivity ρ_(c) -versus-temperature characteristic of Sr₂ RuO₄ ;

FIG. 2 is a diagram showing the resistance of a YBa₂ Cu₃ O₇₋δ film grown on a Sr₂ RuO₄ substrate in dependence on temperature;

FIG. 3 shows an SNS heterostructure with a Sr₂ RuO₄ substrate;

FIG. 4 is an inverted MISFET structure using a Sr₂ RuO₄ substrate;

FIG. 5 shows essentially the device of FIG. 4 with a supporting layer.

A metallic substrate is highly desirable for thin film applications of high-T_(c) superconductor materials, such as, e.g., YBa₂ Cu₃ O₇₋δ, for a number of reasons:

It can be used as a gate electrode in a field-effect device.

It can be used as a shunt resistance.

It has a high thermal conductivity than SrTiO₃ and, therefore, allows denser packaging of the devices.

It offers a convenient electrical contact from the superconductor to the external world or to other devices.

The problem with the metals and alloys so far considered for use in connection with high-T_(c) superconductor materials is simply that none of them has a lattice that matches the lattice structure of the superconductor material in question to any useful extent. Also, in some cases, diffusion across the interface between the materials tends to destroy the ability to become superconducting. Accordingly, none of these metals has found an application together with a high-T_(c) superconductor, except, perhaps as a contact material.

In a contrast, the paramagnetic Sr₂ RuO₄ has a layered K₂ NiF₄ -structure and is a metallic conductor along its layers, with an excellent lattice match to copper oxide superconductors, such as YBa₂ Cu₃ O₇₋δ. At 300 K, Sr₂ RuO₄ is tetragonal with lattice constants of a=b=0.387 nm, and c=1,274 nm, as compared to YBa₂ Cu₃ O₇₋δ which is orthorhombic with lattice constants of a=0.382 nm, b=0.389 nm, and c=1.17 nm. This small lattice mismatch (of about 1.3%) compares favorably even to that between YBa₂ Cu₃ O₇₋δ (001) and strontium titanate SrTiO₃ {100}, the latter being the standard insulating substrate for the growth of superconducting copper oxides, and which at 300 K is cubic, with a=0.391 nm (as shown in EP-A-0 324 220).

FIG. 1 shows the resistivity ρ_(c) -versus-temperature characteristic measured at a representative Sr₂ RuO₄ crystal. No corrections for inhomogeneous current density distribution had to be made. In the a-b-plane, the resistivity ranges from ρ_(ab) ≃10⁻⁴ Ωcm at room temperature down to ρ_(ab) ≃10⁻⁶ Ωcm at 4.2 K demonstrating the highly conductive metallic in-plane behavior of Sr₂ RuO₄. The observed resistivity along the c-axis resembles that of the layered materials TaS₂ and graphite. Like Sr₂ RuO₄, they exhibit a metallic behavior along the layers and a resistivity maximum between room temperature and 4.2 K perpendicular to the layers.

Generally, when it is possible to grow Sr₂ RuO₄ on SrTiO₃ and vice-versa, thin film devices become feasible where insulating, superconducting and metallic layers can be combined in any way.

To demonstrate their compatibility, thin films of YBa₂ Cu₃ O₇₋δ were grown onto the a-b-plane of a Sr₂ RuO₄ crystal with very satisfactory results. The diagram of FIG. 2 shows the resistance of such a film in dependence on the temperature, with a critical temperature T_(c) of 86 K.

Referring now to FIG. 3, there is shown an SNS heterostructure 1 comprising an electrically conducting Sr₂ RuO₄ crystal forming a substrate 2 and carrying on both sides thin-film superconductor layers 3 and 4 consisting of YBa₂ Cu₃ O₇₋δ. As mentioned above, the lattic constants of the substrate material match the lattice constants of the superconductor material to such an extent that epitaxial growth of the superconductor films 3, 5 onto the substrate 2 is possible without a problem. Contact terminals 5 and 6 are attached to superconductor layers 3 and 4, respectively.

FIG. 4 shows a field-effect transistor 7 having an inverted MISFET-structure. In this structure, a superconducting YBa₂ Cu₃ O₇₋δ film 8 of the thickness s is separated from a Sr₂ RuO₄ crystal substrate 9 serving as a gate electrode, by an insulating SrTiO₃ barrier layer 10 of the thickness t. Besides the thickness s of the superconductor film 8, the resistivity ρ_(i) and the breakthrough field strength E_(BD) of the insulator layer 10 are crucial parameters. The required values for E_(BD) and for ρ_(i) can be simply estimated, if space charge effects are neglected: To induce a surface charge density in superconducting film 8 which corresponds to the unperturbed density n of mobile charge carriers (nδ3 . . . 5×10²¹ /cm³), the capacitor formed by substrate 9 and supercoductor film 8 has to be biased with a voltage ##EQU1## where q is the elementary charge, ε_(o) and ε_(i) respectively the dielectric constants of the vacuum and of the barrier layer material. Equation (1) rewritten provides the condition for the breakdown field strength E_(BD) : ##EQU2##

Equation (2) implies that to modulate the carrier density n in high-T_(c) superconductors substantially, the product ε_(i) ×E_(BD) has to be of the order of 10⁸ V/cm. (For comparison, SiO₂ has an ε_(i) ×E_(BD) product of 4×10⁷ V/cm at room temperature.)

In addition, the normal-state resistivity ρ_(i) of the insulator has to be sufficiently high to avoid leakage currents which result in an input loss V_(G) ×l_(G), the latter factor being the gate current. For a typical case of l_(G) <l_(DS/) 100 and l_(DS) =10μA, and an area of the substrate 9 of 1mm², the resistivity ρ_(i) must be higher than 10¹⁴ ωcm/ε_(i) at operating temperature.

In view of these requirements, insulating layers with high dielectric constants are recommended. Therefore, SrTiO₃ is a good material for insulating barrier layer 10 because of its good compatibility with the growth of copper oxide superconductors, such as YBa₂ Cu₃ O₇. The compatibility of YBa₂ Cu₃ O₇ with SrTiO₃ has already been pointed out in EP-A-0 299 870 and EP-A-0 301 646.

The dielectric constant ε_(i) of SrTiO₃ being between 40 and 300 (depending on the purity of the material), the breakdown field being on the order of 10⁸ V/cm, and with an operating voltage V_(G) =5V, equation (2) suggests that a monomolecular (i.e. unit cell) layer of superconductor material would meet the requirements. Accordingly, with s=1,2 nm and ε_(i) 32 260 and a carrier density n32 3×10²¹ cm⁻³, equation (1) yields a value of t≃20 nm.

The manufacture of the Josephson junction heterostructure of FIG. 3 and of, the inverted MISFET device in accordance with FIG. 4 preferably involves the following steps:

1. Appropriate ratios, molar ratios, for example, of strontium carbonate SrCO₃ and ruthenium dioxide RuO₂ are weighed with an accuracy of better than 1⁰ /00.

2. After grinding, the powder is mixed with water and pressed to form rods of, say, 5 mm diameter, one 10 mm in length, the other 100 mm in length, for example.

3. The rods are sintered on Al₂ O₃ boats in air at about 1300° C.

4. Using the floating zone process, the rods are melted in air in a mirror cavity with focused infrared radiation, the short rod being used as the seed, the long rod being used as the feed material.

5. Single-crystals are grown from the melt. The melt-grown samples have cylindrical shape with layers (a-b-planes) of Sr₂ RuO₄ grown along the axis of the cylinder.

The growth of the Sr₂ RuO₄ crystals is complicated by the volatility of RuO₂ which leads to the segregation of SrO. To compensate for this segregation, an excess of RuO₂ must be used in the starting material. A molar ratio of 2:1,1 of SrCO₃ and RuO₂ is recommended to minimize the amount of segregated SrO. In order to grown large crystals, the amount of molten material as well as its composition should be kept constant. This is difficult to achieve probably owing to the continuous evaporation of RuO₂ and because of the low density of the rods.

6. The crystals are then cleaved.

Because of the layered structure of Sr₂ RuO₄, the melt-grown samples can be cleaved easily, and single-crystals may be obtained from the interior part of the cylinder.

With this technique it is possible to grown a cylindrical Sr₂ RuO₄ crystal of about 5 mm diameter and 10 mm length. Having prepared the single-crystal Sr₂ RuO₄ substrate, the manufacture of the heterostructure 1 of FIG. 3 involves the following additional steps:

1. The substrate 2 is rinsed in acetone and propanol and attached to the heater of the sputtering chamber with silver paint, for example.

2. On the upper (001) surface of the Sr₂ RuO₄ substrate 2, a superconducting film 3 of, for example, YBa₂ Cu₃ O₇₋δ is epitaxially grown by hollow cathode rf-magnetron sputtering, wherein the value of δ is preferably kept equal to zero, but can be made as large as 1. The sputter parameters used encompass a substrate heater block temperature of 700°-750° C., a total pressure (Ar/O₂ =2:1) of 0,845 mbar, a plasma discharge of 150--170 V and 450 mA, and an aftergrowth cooldown in ≃0,5 bar O₂ lasting for≃1 hour. The thickness of the superconductor film 3 can finally be in the range of 1 to 1000 nm.

3. The same step is repeated for the lower (001) surface of the Sr₂ RuO₄ substrate 2 to form superconductor layer 4.

4. Electrical contacts are then made in the form of indium dots, silver paint, or metal pads, such as gold pads 5 and 6, for example, on the superconductor layers 3 and 4, respectively.

The manufacture of the MISFET-structure 7 FIG. 4 involves the following steps additional to the preparation of the Sr₂ RuO₄ substrate 9:

1. A {100}-oriented SrTiO₃ barrier layer 10 is epitaxially grown by reactive rf-magnetron sputtering at 6,7 Pa in an O₂ /Ar atmosphere at 650° C. (temperature of the sample holder) as an insulator on top of the Sr₂ RuO₄ substrate 9 and is polished down to the desired final thickness.

2. On top of the thinned barrier layer 10, a superconductor film 8 (of YBa₂ Cu₃ O₇₋δ, for example) with the thickness s is sputtered.

3. Gold pads 11 and 12 are provided on top of the superconductor layer 8 to form source and drain contacts, respectively.

4. On the back side of the substrate 9, a gate electrode 13 in the form of a metal layer, such as a gold layer, for example, is deposited.

5. Optionally, substrate 9 and gate electrode 13 may be arranged on an insulating support layer 14, be it for stability, as indicated in FIG. 5. Support layer 14 may again consist of SrTiO₃ and be epitaxially grown by reactive rf-magnetron sputtering. The thickness of this layer can be freely chosen.

From the measurements taken with several sample embodiments of the field-effect transistor in accordance with FIGS. 4 and 5, it has been determined that the operating gate voltage V_(G) should be in the range between 0.1 and 50 V, preferably 5 V, the thickness s of the superconducting film should be in the range between 1 and 30 nm, and the thickness t of the insulating layer should be in the range between 3 and 100 nm.

In accordance with the invention, MISFET-type heterostructures consisting of high-T_(c) superconductor/SrTiO₃ /Sr₂ RuO₄ multilayers may be made which allow the application of electrical fields larger than 10⁷ V/cm to the superconducting films. In these devices, electric field-effects generate changes in the channel resistance. The high-T_(c) superconductor films have a preferred thickness on the order of 10 nm and are operated with gate voltages well below 30 Volts. The channel resistivity changes can be attributed to equally strong changes of the carrier density in the high-T_(c) superconductor.

It should be noted that Sr₂ RuO₄ can also be used in the form of thin films for certain applications. Those skilled in the art will understand that such films can be made with any of the conventional methods, such as electron beam evaporation, thermal evaporation, chemical vapor deposition, metalorganic vapor deposition, laser ablation, rf-magnetron sputtering, spinning-on, molecular beam epitaxy, etc., for example.

While this invention has been described with respect to plural embodiments thereof, it will be understood by those with skill in the art that changes in the above description or illustrations may be made with respect to form or detail without departing from the spirit or scope of the invention. 

We claim:
 1. A method for manufacturing superconducting circuit elements, comprising:weighing and grinding a ratio of strontium carbonate SrCO₃ and ruthenium dioxide RuO₂ to form powder; mixing the powder with water and pressing it to form rods; sintering the rods in air; melting the rods in a floating zone melting process to form a melt. Growing crystal materials form the melt having cylindrical shape with layers of strontium ruthenate Sr₂ RuO₄ along the axis of the cylindrical shape; cleaving the melt-grown crystal materials of Sr₂ RuO₄ to obtain single-crystal substrates having defined crystallographic surfaces; epitaxially growing on at least one (001)-surface of the Sr₂ RuO₄ substrate a film of a high-T_(c) copper oxide-based superconductor material, the thickness of the superconductor film being in the range of 1 to 1000 nm; depositing metal pads onto said superconductor film to form electrical contacts; and applying a metal pad to the surface of the substrate to form an electrical contact.
 2. A method for manufacturing superconducting circuit element in accordance with claim 1, wherein said high-T_(c) superconductor material is YBa₂ Cu₃ O₇₋δ, and wherein 0≦δ≦1.
 3. A method for manufacturing superconducting circuit elements in accordance with claim 1, further comprising:epitaxially growing a {100}-oriented SrTiO₃ barrier layer onto said Sr₂ RuO₄ substrate; and depositing a high-T_(c) superconductor layer on said barrier layer.
 4. A method for manufacturing superconducting circuit element in accordance with claim 3, wherein said high-T_(c) superconductor material is YBa₂ Cu₃ O₇₋δ, and wherein 0≦δ≦1.
 5. A method for manufacturing superconducting circuit elements in accordance with claim 1, further comprising:depositing on the surface of the Sr₂ RuO₄ substrate facing away from said barrier layer an insulating support layer consisting of SrTiO₃ and having a thickness in the range of 100 to 1000 nm.
 6. A method for manufacturing superconducting circuit element in accordance with claim 5, wherein said high-T_(c) superconductor material is YBa₂ Cu₃ O₇₋δ, and wherein 0≦δ≦1.
 7. A method for manufacturing superconducting circuit elements in accordance with claim 1, wherein:a molar ratio of 2:1 of SrCO₃ to RuO₂ is used in forming said single crystal substrates.
 8. A method for manufacturing superconducting circuit element in accordance with claim 7, wherein said high-T_(c) superconductor material is YBa₂ Cu₃ O₇₋δ, and wherein 0≦δ≦1.
 9. A method for manufacturing superconducting circuit elements in accordance with claim 1, wherein:an excess of RuO₂ is used to obtain a molar ratio of 2:1.1 of SrCO₃ to RuO₂ informing said single crystal substrate.
 10. A method for manufacturing superconducting circuit element in accordance with claim 9, wherein said high-T_(c) superconductor material is YBa₂ Cu₃ O₇₋δ, and wherein 0≦δ≦1. 